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Finding the Fourth Proportional to 13,314.58, 18,374.02 and 7,346.50

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Solution

The fourth proportional to 13,314.58, 18,374.02 and 7,346.50 is: 10,138.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,314.58 : 18,374.02 = 7,346.50 : x
  2. Step 2: Convert to fraction form
    13,314.58/18,374.02 = 7,346.50/x
  3. Step 3: Cross multiply
    13,314.58x = 18,374.02 × 7,346.50
  4. Step 4: Simplify right side
    13,314.58x = 134,984,737.93
  5. Step 5: Solve for x
    x = 134,984,737.93/13,314.58
  6. Step 6: Final answer
    x = 10,138.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.